2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38522The pseudofermion action of the Hybrid Monte Carlo (HMC) algorithm for dynamical fermions is modified to directly incorporate Incomplete LU (ILU) factorisation. This reduces the stochastic noise and allows a larger molecular dynamics step-size to be taken, cutting the computational cost. Numerical tests using the two-flavour Schwinger model are presented, where a two-step ILU preconditioning of the even-odd fermion matrix allows the step-size to be increased by a factor of two over the standard even-odd formulation.14 pages with 5 figures (in 9 eps files). Uses epsf.sty. Added a referenceHigh Energy Physics - Latticetext